Question

Consider a regression study involving a dependent variable y, a quantitative independent variable x?, and a categorical independent variable x? with two levels (level 1 and level 2). (Use x? = level 1 and x? = 1 for level 2.) (a) Write a multiple regression equation relating x? and the categorical variable to y. y = ?? + ??x? + ??x? E(y) = ?? + ??x? E(y) = ?? + ??x? + ?? E(y) = ?? + ??x? + ??x? (b) What is the expected value of y corresponding to level 1 of the categorical variable? E(y | level 1) = ?? + ??x? (c) What is the expected value of y corresponding to level 2 of the categorical variable? E(y | level 2) = ?? + ?? + ??x?

          Consider a regression study involving a dependent variable y, a quantitative independent variable x?, and a categorical independent variable x? with two levels (level 1 and level 2). (Use x? = level 1 and x? = 1 for level 2.)
(a) Write a multiple regression equation relating x? and the categorical variable to y.
y = ?? + ??x? + ??x?
E(y) = ?? + ??x?
E(y) = ?? + ??x? + ??
E(y) = ?? + ??x? + ??x?
(b) What is the expected value of y corresponding to level 1 of the categorical variable?
E(y | level 1) = ?? + ??x?
(c) What is the expected value of y corresponding to level 2 of the categorical variable?
E(y | level 2) = ?? + ?? + ??x?

Consider a regression study involving a dependent variable y, a quantitative independent variable x?, and a categorical independent variable x? with two levels (level 1 and level 2). (Use x? = level 1 and x? = 1 for level 2.)
(a) Write a multiple regression equation relating x? and the categorical variable to y.
y = ?? + ??x? + ??x?
E(y) = ?? + ??x?
E(y) = ?? + ??x? + ??
E(y) = ?? + ??x? + ??x?
(b) What is the expected value of y corresponding to level 1 of the categorical variable?
E(y | level 1) = ?? + ??x?
(c) What is the expected value of y corresponding to level 2 of the categorical variable?
E(y | level 2) = ?? + ?? + ??x?

Added by Sarah N.

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